On orbital regular graphs and Frobenius graphs

DOI10.1016/S0012-365X(97)00148-9zbMath0904.05038OpenAlexW1976769730WikidataQ56988153 ScholiaQ56988153MaRDI QIDQ1379826

Cai Heng Li, Xin Gui Fang, Cheryl E. Praeger

Publication date: 29 December 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)00148-9

zbMATH Keywords

Frobenius groupedge forwarding indexorbital regular graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (12)

Cyclotomic graphs and perfect codes ⋮ Eigenvalues of Cayley graphs ⋮ Frobenius circulant graphs of valency six, Eisenstein-Jacobi networks, and hexagonal meshes ⋮ FROBENIUS CIRCULANT GRAPHS OF VALENCY FOUR ⋮ On the edge-forwarding indices of Frobenius graphs ⋮ Forwarding and optical indices of 4-regular circulant networks ⋮ Gossiping and routing in second-kind Frobenius graphs ⋮ On the automorphism groups of Frobenius groups ⋮ Gossiping and routing in undirected triple-loop networks ⋮ Rotational circulant graphs ⋮ Frobenius maps ⋮ Finding optimal routings in Hamming graphs

Cites Work

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• The edge-forwarding index or orbital regular graphs
• On isomorphisms of connected Cayley graphs
• On forwarding indices of networks
• Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I
• Normal \(p\)-complements for finite groups

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